
XPPAUT
 Referenced in 242 articles
[sw05543]
 Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems are easily solved...

PETSc
 Referenced in 671 articles
[sw04012]
 suite of parallel linear, nonlinear equation solvers and time integrators that may be used...

Octave
 Referenced in 175 articles
[sw00646]
 problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary...

REDUCE
 Referenced in 641 articles
[sw00789]
 integration; factorization of polynomials; facilities for the solution of a variety of algebraic equations; facilities...

NEURON
 Referenced in 121 articles
[sw03059]
 support parallel network simulations. Each processor integrates the equations for its subnet over an interval ... linear speedup on 2000 processors, with an integration time of 9.8 seconds and communication time...

ode23
 Referenced in 165 articles
[sw06600]
 with tspan = [t0 tf] integrates the system of differential equations y′ = f(t,y) from ... options) solves as above with default integration parameters replaced by property values specified in options...

bvp4c
 Referenced in 136 articles
[sw06178]
 problems for ordinary differential equations. sol = bvp4c(odefun,bcfun,solinit) integrates a system of ordinary...

AUTO
 Referenced in 565 articles
[sw01059]
 systems of ordinary differential equations of the form ... subject to initial conditions, boundary conditions, and integral constraints. Here p denotes one or more ... applicable to rather large systems of differential equations...

BEMECH
 Referenced in 58 articles
[sw10847]
 plasticity; b) the formulation of boundary integral equations for elastoplasticity; c) the description...

SincPack
 Referenced in 31 articles
[sw13600]
 Sinc theory – 2. Sinc convolutionboundary integral equation methods for partial differential equations (PDEs ... integral equations – 3. Explicit 1D program solutions via SincPack – 4. Explicit program solutions...

CRACK
 Referenced in 54 articles
[sw07754]
 classification of integrable systems. The classifications of integrable systems are obtained by using a computer ... method to reduce the length of the equations for large bilinear ... algebraic systems is presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with...

AUTO86
 Referenced in 242 articles
[sw04220]
 Rnand of systems of ordinary differential equations of the formu ... Rnsubject to initial conditions, boundary conditions, and integral constraints. Here p denotes one or more ... applicable to rather large systems of differential equations...

INTLAB
 Referenced in 279 articles
[sw04004]
 fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series ... sequential approach, slow for many variables) verified integration of (simple) univariate functions univariate and multivariate...

Fastcap
 Referenced in 24 articles
[sw08926]
 boundaryelement technique for solving the integral equation associated with the multiconductor capacitance extraction problem ... number of conductors. Performance comparisons on integrated circuit bus crossing problems show that for problems...

Maxima
 Referenced in 90 articles
[sw00560]
 expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations...

CONFPACK
 Referenced in 18 articles
[sw11659]
 CONFPACK subroutine library: Symm’s integral equation (netlib conformal...

SPRINT2D
 Referenced in 25 articles
[sw00904]
 solving both steady and unsteady partial differential equations (PDEs) in twospace variables. The software ... mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization...

Algorithm 876
 Referenced in 7 articles
[sw12906]
 Algorithm 876: Solving Fredholm integral equations of the second kind in Matlab. We present here ... program, Fie, that numerically solves Fredholm integral equations of the second kind on an interval ... also solves a large class of integral equations with moderately smooth kernel function...

Algorithm 689
 Referenced in 8 articles
[sw13892]
 iterated collocation for nonlinear Volterra integral equations of the second kind. This paper describes ... solutions to systems of nonlinear Volterra integral equations of the second kind. The algorithm...

Taylor
 Referenced in 41 articles
[sw10816]
 numerical integration of initial value problems of ordinary differential equations (ODEs). The main goal ... computer program that outputs a specific numerical integrator for a given set of ODEs...